Lance L. Littlejohn

Baylor University, USA

Articles in Scholarly Journals [Incomplete List]

  1. Construction of differential operators having Bochner–Krall orthogonal polynomials as eigenfunctions?
    Journal of Mathematical Analysis and Applications, vol. 324, no. 1, pp. 285–303, 2006
  2. Sobolev orthogonal polynomials in two variables and second order partial differential equations
    Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp. 1001–1017, 2006
  3. A construction of real weight functions for certain orthogonal polynomials in two variables
    Journal of Mathematical Analysis and Applications, vol. 319, no. 2, pp. 475–493, 2006
  4. Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform
    Integral Transforms and Special Functions, vol. 17, no. 12, pp. 845–862, 2006
  5. Additional spectral properties of the fourth-order Bessel-type differential equation
    Mathematische Nachrichten, vol. 278, no. 12-13, pp. 1538–1549, 2005
  6. The Fourth-order Bessel-type Differential Equation
    Applicable Analysis, vol. 83, no. 4, pp. 325–362, 2004
  7. The Sobolev orthogonality and spectral analysis of the Laguerre polynomials Ln-k for positive integers k1
    Journal of Computational and Applied Mathematics, vol. 171, no. 1-2, pp. 199–234, 2004
  8. On analytic sampling theory1
    Journal of Computational and Applied Mathematics, vol. 171, no. 1-2, pp. 235–246, 2004
  9. A General Left-Definite Theory for Certain Self-Adjoint Operators with Applications to Differential Equations
    Journal of Differential Equations, vol. 181, no. 2, pp. 280–339, 2002
  10. Journal of Computational Analysis and Applications, vol. 4, no. 4, pp. 363–387, 2002
  11. Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
    Journal of Computational and Applied Mathematics, vol. 148, no. 1, pp. 213–238, 2002
  12. Orthogonal polynomial solutions of linear ordinary differential equations
    Journal of Computational and Applied Mathematics, vol. 133, no. 1-2, pp. 85–109, 2001
  13. Transactions of the American Mathematical Society, vol. 353, no. 09, pp. 3629–3648, 2001
  14. Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions
    Rocky Mountain Journal of Mathematics, vol. 31, no. 3, pp. 899–937, 2001
  15. Orthogonal Polynomial Solutions of Spectral Type Differential Equations: Magnus' Conjecture,
    Journal of Approximation Theory, vol. 112, no. 2, pp. 189–215, 2001
  16. The left-definite spectral theory for the classical Hermite differential equation
    Journal of Computational and Applied Mathematics, vol. 121, no. 1-2, pp. 313–330, 2000
  17. An integral operator inequality with applications
    Journal of Inequalities and Applications, vol. 3, no. 3, pp. 245–266, 1999
  18. H. J. S. Smith and the Fermat Two Squares Theorem
    The American Mathematical Monthly, vol. 106, no. 7, p. 652, 1999
  19. Differential equations having orthogonal polynomial solutions
    Journal of Computational and Applied Mathematics, vol. 80, no. 1, pp. 1–16, 1997
  20. New characterizations of classical orthogonal polynomials
    Indagationes Mathematicae, vol. 7, no. 2, pp. 199–213, 1996
  21. Zeros of orthogonal polynomials in certain discrete Sobolev spaces
    Journal of Computational and Applied Mathematics, vol. 67, no. 2, pp. 309–325, 1996
  22. The symmetric form of the Koekoeks' Laguerre type differential equation
    Journal of Computational and Applied Mathematics, vol. 57, no. 1-2, pp. 115–121, 1995
  23. Differential equations and Sobolev orthogonality
    Journal of Computational and Applied Mathematics, vol. 65, no. 1-3, pp. 173–180, 1995
  24. The Laguerre Type Operator in a Left Definite Hilbert Space
    Journal of Mathematical Analysis and Applications, vol. 192, no. 2, pp. 460–468, 1995
  25. Sobolev Orthogonal Polynomials and Spectral Differential Equations
    Transactions of the American Mathematical Society, vol. 347, no. 9, p. 3629, 1995
  26. On Recurrence Relations for Sobolev Orthogonal Polynomials
    SIAM Journal on Mathematical Analysis, vol. 26, no. 2, p. 446, 1995
  27. SIAM Journal on Mathematical Analysis, vol. 25, no. 3, Article ID 0525054, 1994
  28. Characterization of Classical Type Orthogonal Polynomials
    Proceedings of the American Mathematical Society, vol. 120, no. 2, p. 485, 1994
  29. Orthogonal polynomials and approximation in Sobolev spaces
    Journal of Computational and Applied Mathematics, vol. 48, no. 1-2, pp. 69–90, 1993
  30. Orthogonal polynomials and extensions of Copson's inequality
    Journal of Computational and Applied Mathematics, vol. 48, no. 1-2, pp. 33–48, 1993
  31. Real orthogonalizing weights for Bessel polynomials
    Journal of Computational and Applied Mathematics, vol. 49, no. 1-3, pp. 51–57, 1993
  32. SIAM Journal on Mathematical Analysis, vol. 23, no. 3, Article ID 0523037, 1992
  33. Discrete Inequalities, Orthogonal Polynomials and the Spectral Theory of Difference Operators
    Proceedings of the Royal Society: Mathematical and Physical Sciences (1990-1995), vol. 437, no. 1900, pp. 355–373, 1992
  34. The left-definite Legendre type boundary problem
    Constructive Approximation, vol. 7, no. 1, pp. 485–500, 1991
  35. Symmetry factors for differential equations with applications to orthogonal polynomials
    Acta Mathematica Hungarica, vol. 56, no. 1-2, pp. 57–63, 1990
  36. Symmetric and Symmetrisable Differential Expressions
    Proceedings of the London Mathematical Society, vol. s3-60, no. 2, pp. 344–364, 1990
  37. Orthogonal polynomials and higher order singular Sturm-Liouville systems
    Acta Applicandae Mathematicae, vol. 17, no. 2, pp. 99–170, 1989
  38. On the classification of differential equations having orthogonal polynomial solutions â?? II
    Annali di Matematica Pura ed Applicata, vol. 149, no. 1, pp. 77–102, 1987
  39. Distributional solutions of the hypergeometric differential equation
    Journal of Mathematical Analysis and Applications, vol. 122, no. 2, pp. 325–345, 1987
  40. On the classification of differential equations having orthogonal polynomial solutions
    Annali di Matematica Pura ed Applicata, vol. 138, no. 1, pp. 35–53, 1984
  41. Symmetry Factors for Differential Equations
    The American Mathematical Monthly, vol. 90, no. 7, p. 462, 1983